1. Silindr blokiga o'ralgan shnurga F kuch qo'llaniladi. Moment 2 N m va inersiya momenti 1 kg m 2 ga teng , silindrning burchak tezlanishi nimaga teng .
Ma'lum:
Moment ( τ ) = 2 N m
Inersiya momenti (I) = 1 kg m 2
Kerakli: Silindrning burchak tezlanishi
yechim:
Στ = Iα
St = aniq moment, I = inersiya momenti, a = burchak tezlanishi
Silindrning burchak tezlanishi:
a = St / I = 2 / 1 = 2 rad/s 2
[irp]
2. Silindr blokiga o'ralgan shnurga F kuchi qo'llaniladi. Kuchning kattaligi 10 N, silindrning radiusi 0.2 m va inersiya momenti 1 kg m2 . Silindrning burchak tezlanishi nima?
Ma'lum:
Kuch (F) = 10 N
Silindr radiusi (R) = 0.2 m
Inersiya momenti (I) = 1 kg m 2
Kerakli: Silindrning burchak tezlanishi.
yechim:
τ = FR
τ = moment, F = kuch, R = silindr radiusi
Moment:
t = FR = (1 0 N)(0.2 m) = 2 N m
Στ = Iα
St = aniq moment, I = inersiya momenti, a = burchak tezlanishi
Silindrning burchak tezlanishi:
a = St / I = 2 / 1 = 2 rad/s 2
[irp]
3. Silindr blokiga o'ralgan shnurga F kuchi qo'llaniladi. Kuch kattaligi 10 N, silindrning radiusi 0.2 m va silindrning massasi 20 kg m2 , ga teng . Silindrning burchak tezlanishi nimaga teng.
Ma'lum:
Kuch (F) = 10 N
Silindr radiusi (R) = 0.2 m
Silindrning massasi (M) = 20 kg
Kerakli: Silindrning burchak tezlanishi
yechim:
t = FR = (1 0 N)(0.2 m) = 2 N m
Inersiya momenti:
I = 1⁄2 MR 2 = 1⁄2 (20)(0.2) 2 = 1⁄2 (20)(0.04) = 0.4 kg m 2
Silindrning burchak tezlanishi:
a = St / I = 2 / 0.4 = 5 rad/s 2
[irp]
4. Silindrli shkivga o'ralgan shnurga osilgan 1 kg og'irlikdagi blok. Shkivning inersiya momenti 1 kg m2 va shkivning radiusi 0.2 m. Shkivning burchak tezlanishi nima. Og'irlik ta'sirida tezlanish 10 m/s2 ga teng.
Ma'lum:
Kasnakning inersiya momenti (I) = 1 kg m 2
Blokning massasi (m) = 1 kg
Tortishish kuchi tufayli tezlanish (g) = 10 m/ s2
Og'irligi (w) = mg = (1 kg)(10 m/s² ) = 10 kg m/s² = 10 N
Kasnak radiusi (R) = 0.2 m
Kerakli: Burchak tezlanishi
yechim:
Moment:
t = FR = w R = (1 0 N)(0.2 m) = 2 N m
Inersiya momenti:
I = 1 kg m2
Burchak tezlanishi:
a = St / I = 2 / 1 = 2 rad/s 2
[irp]
5. Silindrli gʻildirakka oʻralgan shnurga osilgan 1 kg ogʻirlikdagi blok. Gʻildirakning massasi 20 kg va gʻildirakning radiusi 0,2 m. Gʻildirakning burchak tezlanishi va blokning erkin tushish tezlanishi qanday? Ogʻirlik kuchi taʼsirida tezlanish 10 m/ s2 ga teng.
Ma'lum:
Kasnakning massasi (M) = 20 kg
Kasnak radiusi (R) = 0,2 m
Blokning massasi (m) = 1 kg
Tortishish kuchi tufayli tezlanish (g) = 10 m/ s2
Og'irligi (w) = mg = (1 kg)(10 m/s² ) = 10 kg m/s² = 10 N
Kerakli: kasnakning burchak tezlanishi va blokning erkin tushish tezlanishi.
yechim:
Moment:
t = FR = w R = (1 0 N)(0.2 m) = 2 N m
Silindr kasnagining inersiya momenti:
I = 1⁄2 MR 2 = 1⁄2 (20)(0.2) 2 = (10)(0.04) = 0.4 kg m 2
Kasnakning burchak tezlanishi:
a = St / I = 2 / 0.4 = 5 rad/s 2
Blokning erkin tushish tezlanishi:
a = R α = (0.2)(5) = 1 m/s 2
